由六个顶点的箭图诱导的项链李子代数  

Necklace Lie subalgebras induced by six vertex arrow

作　　者：余德民[1] 梅超群[2] Yu Demin;Mei Chaoqun(College of Mathematics, Hunnan Institute of Science and Technology, Yueyang 414006, China;School of Statistics, Capital University of Economic and Business, Beijing 100070, China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006 [2]首都经济贸易大学统计学院,北京100070

出　　处：《纯粹数学与应用数学》2018年第1期7-14,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(11771135);湖南省社科基金教育学课题(XSJ17B16);湖南省省级教研教改项目(湘教通2016(400))

摘　　要：无限维项链李代数是新的一类无限维李代数,本文重点讨论了由六个顶点的箭图诱导的项链李子代数,研究了这类李子代数的子代数,同构和同态,这类李代数是Virasoro-like李代数的推广,并讨论了它的其他一些性质.In this paper,a new infinite dimensional Necklace lie algebra is studied.Lie subalgebras induced by six vertex arrow are mainly discussed.The infinite dimensional lie algebra is popularized of Virasoro-like lie algebra.Subalgebra,isomorphisms and homomorphism of the infinite dimensional lie algebra are studied and the other properties of these Lie algebras are studied.

关 键 词：项链李代数 理想 子代数 

分 类 号：O152.5[理学—数学]